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Beliebt Rechnen >

(\partial)/(\partial y)(xe^{x+y}-y)

Lösung

\frac{\partial}{\partial y} (x e^{x + y} - y)

Lösung

x e^{x + y} - 1

Schritte zur Lösung

\frac{\partial}{\partial y} (x e^{x + y} - y)

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{\partial}{\partial y} (x e^{x + y}) - \frac{\partial}{\partial y} (y)

\frac{\partial}{\partial y} (x e^{x + y}) = x e^{x + y}

\frac{\partial}{\partial y} (y) = 1

= x e^{x + y} - 1

Beliebte Beispiele

derivative of 4sin(x/2)

integral from-infinity to 0 of 1/(7-9x)

derivative of 5e^{-2x}+4

derivative of 8^{4-x^2}

steigung (x^2-35)^6